The straight line $\mathrm{x}+2 \mathrm{y}=1$ cuts the $X$-axis at A and Y-axis at $\mathrm{B}$. A circle is drawn through $\mathrm{A}, \mathrm{B}$ and the origin. The sum of the perpendicular distances from $\mathrm{A}, \mathrm{B}$ on to the tangent drawn at origin to the circle $\mathrm{S}$ is

• A

  equal to the radius of the circle S
• Correct answer
  B

  equal to the diameter of the circle S
• C

  equal to twice the diameter of the circle S
• D

  equal to $\sqrt{ }$ times the radius of the circle $\mathrm{S}$

Hence, the correct answer is option: 'B'.